13535213010 has 128 divisors (see below), whose sum is σ = 36400389120. Its totient is φ = 3193248000.

The previous prime is 13535212993. The next prime is 13535213023. The reversal of 13535213010 is 1031253531.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1963029 + ... + 1969911.

It is an arithmetic number, because the mean of its divisors is an integer number (284378040).

Almost surely, 2^13535213010 is an apocalyptic number.

13535213010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13535213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200194560).

13535213010 is an abundant number, since it is smaller than the sum of its proper divisors (22865176110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13535213010 is a wasteful number, since it uses less digits than its factorization.

13535213010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064.

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 13535213010 its reverse (1031253531), we get a palindrome (14566466541).

It can be divided in two parts, 1353521 and 3010, that added together give a palindrome (1356531).

The spelling of 13535213010 in words is "thirteen billion, five hundred thirty-five million, two hundred thirteen thousand, ten".